




from collections.abc import Iterator, MutableMapping
from dataclasses import dataclass
from typing import Generic, TypeVar

UpperCamelCase								=	TypeVar('KEY')
UpperCamelCase								=	TypeVar('VAL')





@dataclass(frozen=UpperCamelCase__      ,							slots=UpperCamelCase__       )
class 					__lowerCamelCase			(       Generic[KEY, VAL]       ):




    """simple docstring"""

    snake_case__   = 42
    snake_case__   = 42






class 					__lowerCamelCase			(       _Item       ):




    """simple docstring"""

    def __init__(			self	:	List[Any]  ) ->			None:
         super().__init__(SCREAMING_SNAKE_CASE__  ,      SCREAMING_SNAKE_CASE__  )


    def __bool__(			self	:	Union[str, Any]  ) ->			bool:
         return False






UpperCamelCase								=	_DeletedItem()





class 					__lowerCamelCase			(       MutableMapping[KEY, VAL]       ):




    """simple docstring"""

    def __init__(			self	:	Tuple  ,      SCREAMING_SNAKE_CASE__	:	int = 8  ,      SCREAMING_SNAKE_CASE__	:	float = 0.75  ) ->			None:
         lowerCAmelCase__            =					initial_block_size
         lowerCAmelCase__            =					[None] * initial_block_size
         assert 0.0 < capacity_factor < 1.0
         lowerCAmelCase__            =					capacity_factor
         lowerCAmelCase__            =					0


    def   a (			self	:	int  ,      SCREAMING_SNAKE_CASE__	:	KEY  ) ->			int:
         return hash(SCREAMING_SNAKE_CASE__  ) % len(self._buckets  )


    def   a (			self	:	List[Any]  ,      SCREAMING_SNAKE_CASE__	:	int  ) ->			int:
         return (ind + 1) % len(self._buckets  )


    def   a (			self	:	List[str]  ,      SCREAMING_SNAKE_CASE__	:	int  ,      SCREAMING_SNAKE_CASE__	:	KEY  ,      SCREAMING_SNAKE_CASE__	:	VAL  ) ->			bool:
         lowerCAmelCase__            =					self._buckets[ind]
         if not stored:
              lowerCAmelCase__            =					_Item(SCREAMING_SNAKE_CASE__  ,      SCREAMING_SNAKE_CASE__  )
              self._len += 1
              return True
         elif stored.key == key:
              lowerCAmelCase__            =					_Item(SCREAMING_SNAKE_CASE__  ,      SCREAMING_SNAKE_CASE__  )
              return True
         else:
              return False


    def   a (			self	:	Optional[int]  ) ->			bool:
         lowerCAmelCase__            =					len(self._buckets  ) * self._capacity_factor
         return len(self  ) >= int(SCREAMING_SNAKE_CASE__  )


    def   a (			self	:	List[str]  ) ->			bool:
         if len(self._buckets  ) <= self._initial_block_size:
              return False
         lowerCAmelCase__            =					len(self._buckets  ) * self._capacity_factor / 2
         return len(self  ) < limit


    def   a (			self	:	Tuple  ,      SCREAMING_SNAKE_CASE__	:	int  ) ->			None:
         lowerCAmelCase__            =					self._buckets
         lowerCAmelCase__            =					[None] * new_size
         lowerCAmelCase__            =					0
         for item in old_buckets:
              if item:
                   self._add_item(item.key  ,      item.val  )


    def   a (			self	:	str  ) ->			None:
         self._resize(len(self._buckets  ) * 2  )


    def   a (			self	:	Union[str, Any]  ) ->			None:
         self._resize(len(self._buckets  ) // 2  )


    def   a (			self	:	Any  ,      SCREAMING_SNAKE_CASE__	:	KEY  ) ->			Iterator[int]:
         lowerCAmelCase__            =					self._get_bucket_index(SCREAMING_SNAKE_CASE__  )
         for _ in range(len(self._buckets  )  ):
              yield ind
              lowerCAmelCase__            =					self._get_next_ind(SCREAMING_SNAKE_CASE__  )


    def   a (			self	:	Optional[Any]  ,      SCREAMING_SNAKE_CASE__	:	KEY  ,      SCREAMING_SNAKE_CASE__	:	VAL  ) ->			None:
         for ind in self._iterate_buckets(SCREAMING_SNAKE_CASE__  ):
              if self._try_set(SCREAMING_SNAKE_CASE__  ,      SCREAMING_SNAKE_CASE__  ,      SCREAMING_SNAKE_CASE__  ):
                   break


    def __setitem__(			self	:	str  ,      SCREAMING_SNAKE_CASE__	:	KEY  ,      SCREAMING_SNAKE_CASE__	:	VAL  ) ->			None:
         if self._is_full():
              self._size_up()

         self._add_item(SCREAMING_SNAKE_CASE__  ,      SCREAMING_SNAKE_CASE__  )


    def __delitem__(			self	:	Any  ,      SCREAMING_SNAKE_CASE__	:	KEY  ) ->			None:
         for ind in self._iterate_buckets(SCREAMING_SNAKE_CASE__  ):
              lowerCAmelCase__            =					self._buckets[ind]
              if item is None:
                   raise KeyError(SCREAMING_SNAKE_CASE__  )
              if item is _deleted:
                   continue
              if item.key == key:
                   lowerCAmelCase__            =					_deleted
                   self._len -= 1
                   break
         if self._is_sparse():
              self._size_down()


    def __getitem__(			self	:	Optional[int]  ,      SCREAMING_SNAKE_CASE__	:	KEY  ) ->			VAL:
         for ind in self._iterate_buckets(SCREAMING_SNAKE_CASE__  ):
              lowerCAmelCase__            =					self._buckets[ind]
              if item is None:
                   break
              if item is _deleted:
                   continue
              if item.key == key:
                   return item.val
         raise KeyError(SCREAMING_SNAKE_CASE__  )


    def __len__(			self	:	List[Any]  ) ->			int:
         return self._len


    def __iter__(			self	:	Optional[int]  ) ->			Iterator[KEY]:
         yield from (item.key for item in self._buckets if item)


    def __repr__(			self	:	Union[str, Any]  ) ->			str:
         lowerCAmelCase__            =					" ,".join(
             f'{item.key}: {item.val}' for item in self._buckets if item  )
         return f'HashMap({val_string})'



from random import randint
from tempfile import TemporaryFile

import numpy as np


def 					_UpperCAmelCase				(						a__  ,	a__  ,	a__):

			'''simple docstring'''



			a_						:						List[Any] 							= 0
			if start < end:
						a_						:						Dict 							= randint(a__  ,	a__)
						a_						:						List[str] 							= a[end]
						a_						:						Tuple 							= a[pivot]
						a_						:						Tuple 							= temp

						a_							,					a_						:						List[Any] 							= _in_place_partition(a__  ,	a__  ,	a__)
						count += _in_place_quick_sort(a__  ,	a__  ,	p - 1)
						count += _in_place_quick_sort(a__  ,	p + 1  ,	a__)
			return count


def 					_UpperCAmelCase				(						a__  ,	a__  ,	a__):

			'''simple docstring'''



			a_						:						Optional[int] 							= 0
			a_						:						Union[str, Any] 							= randint(a__  ,	a__)
			a_						:						Union[str, Any] 							= a[end]
			a_						:						Any 							= a[pivot]
			a_						:						Any 							= temp
			a_						:						int 							= start - 1
			for index in range(a__  ,	a__):
						count += 1
						if a[index] < a[end]:  # check if current val is less than pivot value
									a_						:						str 							= new_pivot_index + 1
									a_						:						Optional[Any] 							= a[new_pivot_index]
									a_						:						str 							= a[index]
									a_						:						Union[str, Any] 							= temp

			a_						:						Union[str, Any] 							= a[new_pivot_index + 1]
			a_						:						Tuple 							= a[end]
			a_						:						Any 							= temp
			return new_pivot_index + 1, count


__snake_case				:      Union[str, Any]   		=			TemporaryFile()
__snake_case				:      Dict   		=			1_00  # 1000 elements are to be sorted


__snake_case		, __snake_case				:      int   		=			0, 1  # mean and standard deviation
__snake_case				:      Tuple   		=			np.random.normal(mu, sigma, p)
np.save(outfile, X)
print("""The array is""")
print(X)


outfile.seek(0)  # using the same array
__snake_case				:      str   		=			np.load(outfile)
__snake_case				:      Dict   		=			len(M) - 1
__snake_case				:      Dict   		=			_in_place_quick_sort(M, 0, r)

print(
    """No of Comparisons for 100 elements selected from a standard normal distribution"""
    """is :"""
)



print(z)


